# Question: The baggage limit for an airplane is set at 100

The baggage limit for an airplane is set at 100 pounds per passenger. Thus, for an airplane with 200 passenger seats, there would be a limit of 20,000 pounds. The weight of the baggage of an individual passenger is a random variable with a mean of 95 pounds and a standard deviation of 35 pounds. If all 200 seats are sold for a particular flight, what is the probability that the total weight of the passengers’ baggage will exceed the 20,000-pound limit?

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